Stephen Wen, Department of Pure Mathematics, University of Waterloo
“Applications
of
the
zeta
function
over
function
fields.”
We provide a proof of the Prime Number Theorem over function fields. We examine and extend techniques used in a zeta function proof of the theorem to other applications such as counting square- and higher power- free polynomials of a given degree. If time permits, Dirichlet Series will be in- troduced with an aim towards proving the analogue of Dirichlets Theorem on primes in arithmetic progressions.
MC 5403